Maximum likelihood fitting of the Poisson lognormal distribution
Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities a...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Izsák, Rudolf [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2007 |
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| Übergeordnetes Werk: |
Enthalten in: Environmental and ecological statistics - Springer US, 1994, 15(2007), 2 vom: 23. Okt., Seite 143-156 |
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| Übergeordnetes Werk: |
volume:15 ; year:2007 ; number:2 ; day:23 ; month:10 ; pages:143-156 |
| Links: |
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| DOI / URN: |
10.1007/s10651-007-0044-x |
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OLC2066584975 |
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| 520 | |a Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. | ||
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10.1007/s10651-007-0044-x doi (DE-627)OLC2066584975 (DE-He213)s10651-007-0044-x-p DE-627 ger DE-627 rakwb eng 310 VZ Izsák, Rudolf verfasserin aut Maximum likelihood fitting of the Poisson lognormal distribution 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. Butterflies Computer program Momentum estimates Parameter estimation Species abundance models Enthalten in Environmental and ecological statistics Springer US, 1994 15(2007), 2 vom: 23. Okt., Seite 143-156 (DE-627)188856781 (DE-600)1284261-8 (DE-576)067290140 1352-8505 nnns volume:15 year:2007 number:2 day:23 month:10 pages:143-156 https://doi.org/10.1007/s10651-007-0044-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-FOR SSG-OLC-IBL GBV_ILN_70 GBV_ILN_2004 GBV_ILN_4116 AR 15 2007 2 23 10 143-156 |
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10.1007/s10651-007-0044-x doi (DE-627)OLC2066584975 (DE-He213)s10651-007-0044-x-p DE-627 ger DE-627 rakwb eng 310 VZ Izsák, Rudolf verfasserin aut Maximum likelihood fitting of the Poisson lognormal distribution 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. Butterflies Computer program Momentum estimates Parameter estimation Species abundance models Enthalten in Environmental and ecological statistics Springer US, 1994 15(2007), 2 vom: 23. Okt., Seite 143-156 (DE-627)188856781 (DE-600)1284261-8 (DE-576)067290140 1352-8505 nnns volume:15 year:2007 number:2 day:23 month:10 pages:143-156 https://doi.org/10.1007/s10651-007-0044-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-FOR SSG-OLC-IBL GBV_ILN_70 GBV_ILN_2004 GBV_ILN_4116 AR 15 2007 2 23 10 143-156 |
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10.1007/s10651-007-0044-x doi (DE-627)OLC2066584975 (DE-He213)s10651-007-0044-x-p DE-627 ger DE-627 rakwb eng 310 VZ Izsák, Rudolf verfasserin aut Maximum likelihood fitting of the Poisson lognormal distribution 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. Butterflies Computer program Momentum estimates Parameter estimation Species abundance models Enthalten in Environmental and ecological statistics Springer US, 1994 15(2007), 2 vom: 23. Okt., Seite 143-156 (DE-627)188856781 (DE-600)1284261-8 (DE-576)067290140 1352-8505 nnns volume:15 year:2007 number:2 day:23 month:10 pages:143-156 https://doi.org/10.1007/s10651-007-0044-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-FOR SSG-OLC-IBL GBV_ILN_70 GBV_ILN_2004 GBV_ILN_4116 AR 15 2007 2 23 10 143-156 |
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10.1007/s10651-007-0044-x doi (DE-627)OLC2066584975 (DE-He213)s10651-007-0044-x-p DE-627 ger DE-627 rakwb eng 310 VZ Izsák, Rudolf verfasserin aut Maximum likelihood fitting of the Poisson lognormal distribution 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. Butterflies Computer program Momentum estimates Parameter estimation Species abundance models Enthalten in Environmental and ecological statistics Springer US, 1994 15(2007), 2 vom: 23. Okt., Seite 143-156 (DE-627)188856781 (DE-600)1284261-8 (DE-576)067290140 1352-8505 nnns volume:15 year:2007 number:2 day:23 month:10 pages:143-156 https://doi.org/10.1007/s10651-007-0044-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-FOR SSG-OLC-IBL GBV_ILN_70 GBV_ILN_2004 GBV_ILN_4116 AR 15 2007 2 23 10 143-156 |
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10.1007/s10651-007-0044-x doi (DE-627)OLC2066584975 (DE-He213)s10651-007-0044-x-p DE-627 ger DE-627 rakwb eng 310 VZ Izsák, Rudolf verfasserin aut Maximum likelihood fitting of the Poisson lognormal distribution 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. Butterflies Computer program Momentum estimates Parameter estimation Species abundance models Enthalten in Environmental and ecological statistics Springer US, 1994 15(2007), 2 vom: 23. Okt., Seite 143-156 (DE-627)188856781 (DE-600)1284261-8 (DE-576)067290140 1352-8505 nnns volume:15 year:2007 number:2 day:23 month:10 pages:143-156 https://doi.org/10.1007/s10651-007-0044-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-FOR SSG-OLC-IBL GBV_ILN_70 GBV_ILN_2004 GBV_ILN_4116 AR 15 2007 2 23 10 143-156 |
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Maximum likelihood fitting of the Poisson lognormal distribution |
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Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. © Springer Science+Business Media, LLC 2007 |
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Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. © Springer Science+Business Media, LLC 2007 |
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Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. The computer program for calculations is freely available. © Springer Science+Business Media, LLC 2007 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2066584975</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503045617.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10651-007-0044-x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2066584975</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10651-007-0044-x-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">310</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Izsák, Rudolf</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Maximum likelihood fitting of the Poisson lognormal distribution</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution. The method and results are illustrated on real data. 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Okt., Seite 143-156</subfield><subfield code="w">(DE-627)188856781</subfield><subfield code="w">(DE-600)1284261-8</subfield><subfield code="w">(DE-576)067290140</subfield><subfield code="x">1352-8505</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:15</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:2</subfield><subfield code="g">day:23</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:143-156</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10651-007-0044-x</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-UMW</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-FOR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-IBL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4116</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">15</subfield><subfield code="j">2007</subfield><subfield code="e">2</subfield><subfield code="b">23</subfield><subfield code="c">10</subfield><subfield code="h">143-156</subfield></datafield></record></collection>
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